Question

What two-dimensional cross sections could be obtained from a right rectangular prism?

a) Circle and square
b) Ellipse and parabola
c) Rectangle and triangle
d) Square and triangle

Answer 1

A right rectangular prism can have two-dimensional cross sections that are rectangles and triangles.

Step-by-step explanation:

A right rectangular prism is a three-dimensional shape with rectangular faces that meet at right angles. When we take two-dimensional cross sections of a right rectangular prism, we get different shapes.

The possible two-dimensional cross sections that can be obtained from a right rectangular prism are:

1. A rectangle: This cross section is obtained by cutting the prism parallel to one of its rectangular faces. The resulting shape is a rectangle with the same length and width as the corresponding side of the prism.
2. A triangle: This cross section is obtained by cutting the prism diagonally across one of its rectangular faces. The resulting shape is a triangle with a base and height that are the same as the corresponding side of the prism.

Therefore, the correct answer is c) Rectangle and triangle.